Question

(1) Decide which of the following are equal sets and which are not ? Justify your answer.

A = { x  | 3x -1 = 2}

B = { x  | x is a natural number but x is neither prime nor composite}

C = {x  | x Î N, x < 2}

(2) Decide whether set A and B are equal sets. Give reason for your answer.

A = Even prime numbers B = {x |  7x -1 = 13}

(3) Which of the following are empty sets ? why ?

(i) A = { a |  a is a natural number smaller than zero.}

(ii) B = {x | x2

= 0} (iii) C = { x | 5 x - 2 = 0, x Î N}
anwer plz ​

Answer 1

Step-by-step explanation:

1)....

Solution with justifucation

A={x/3x-1=2}

3x-1=2

3x=2+1

3x=3

x=3

3

A={1}_____1

B={x/x is a natural number but x is neither prime nor composite}

B={1}_______2

C={x/x£N,x<2}

C={1}_______3

from 1,2 and 3

A=B=C

2)....

A=Even prime numbers

A={2}______1

B={x/7x-1=13}

7x-1=13

7x=13+1

7x=14

x=14

7

B={2}_______2

from 1 and 2

A=B

3)...

1. A={a/a is a natural number smaller than zero}--- Empty set as there is no natural number smaller than zero.
2. B={x/x2 =0}---x2=0--x=0---B={0}---it is not an empty set.
3. C={x/5x-2=0,x£N}---5x-2=0---5x=2---x=2/5---2/5 is not a natural number.---C is { }